CORDIS Project
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The ANT project explores the intersection of finite automata and number theory, focusing on integer base expansions, arithmetical linear differential equations, and positive characteristic arithmetics. By leveraging the structured nature of automata, the project aims to provide new insights into longstanding mathematic…
Finite automata are fundamental objects in Computer Science, of great importance on one hand for theoretical aspects (formal language theory, decidability, complexity) and on the other for practical applications (parsing).
In number theory, finite automata are mainly used as simple devices for generating sequences of symbols over a finite set (e.g., digital representations of real numbers), and for recognizing some sets of integers or more generally of finitely generated abelian groups or monoi…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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